We will use some facts about Finsler metrics on vector bundles which can be found in [1]}, [2]}, [3]}, [4]}, [5]}. First, we recall the definition of Finsler metrics. Let \(E^*\)  be a holomorphic vector bundle of rank \(r\)  over a compact complex manifold \(X\) . For a vector \(\zeta \in E^*_z\) , we symbolically write \((z,\zeta )\in E^*\) . A smooth Finsler metric \(G\)  on the vector bundle \(E^*\rightarrow X\)  is a real-valued function on \(E^*\)  such that 
(1)  \(G\)  is smooth away from the zero section of \(E^*\).
